130361728 has 96 divisors (see below), whose sum is σ = 309170160. Its totient is φ = 53630976.

The previous prime is 130361713. The next prime is 130361731. The reversal of 130361728 is 827163031.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130361728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753450 + ... + 753622.

Almost surely, 2^130361728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154585080).

130361728 is an abundant number, since it is smaller than the sum of its proper divisors (178808432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130361728 is an equidigital number, since it uses as much as digits as its factorization.

130361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 130361728 is about 11417.6060538101. The cubic root of 130361728 is about 507.0491233572.

The spelling of 130361728 in words is "one hundred thirty million, three hundred sixty-one thousand, seven hundred twenty-eight".